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Finding the Fourth Proportional to 284,358.80, 392,414.63 and 163,523.41

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Solution

The fourth proportional to 284,358.80, 392,414.63 and 163,523.41 is: 225,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,358.80 : 392,414.63 = 163,523.41 : x
  2. Step 2: Convert to fraction form
    284,358.80/392,414.63 = 163,523.41/x
  3. Step 3: Cross multiply
    284,358.80x = 392,414.63 × 163,523.41
  4. Step 4: Simplify right side
    284,358.80x = 64,168,976,632.83
  5. Step 5: Solve for x
    x = 64,168,976,632.83/284,358.80
  6. Step 6: Final answer
    x = 225,662.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.